2-1 Slope – We practiced finding the slope from a pair of points. We labeled the first set of points as the coordinates (x1, y1) and the second set of points as (x2, y2). Then we practiced using the formula for the slope:
m = (y2 – y1) / (x2 – x2). Next, we practiced finding the slope from the graph of a line. First, we looked at the eight linear graphs and determined whether the graph of each line was positive or negative. Then we located two points on the line and labeled them as (x1, y1) and (x2, y2).
Assignment: Complete the assigned problems for homework.
We will take what we learned about expressions and use it to write equations and/or inequalities from verbal descriptions. We will then solve the equation or inequality. This will summarize the first unit of the algebra 1 course.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did some guided practice problems that I created and then David created an inequality and solved it.
We will solve inequalities using methods similar to solving equations with one exception. That is, multiplying or dividing by a negative quantity requires that the inequality be reversed. We will also discuss the three methods used to express the solution set: symbolically, graphically, and set-builder notation. We will do examples to reinforce these concepts. We will also do an enrichment activity involving conditional statements and counterexamples.
Assignment
none
Session Minutes
90
Minutes Student Attended
75
Lesson Comments
We completed the lesson outline and did several examples of inequality solving and finding counterexamples for conditional statements. We are progressing very well through the Algebra 1 material. David was a bit late logging in for the second session today as he used the restroom after lunch before logging in. He was right on time for our session at 10:34 this morning. I asked him to try to login before going to the restroom if possible.
2-1 Slope-Intercept Form – We learned how to identify a positive or negative slope from the slant of the line. Then we identified graphs of zero and undefined slopes. Next, we reviewed the formula to find the slope when you have 2 points. We practiced finding slopes with the slope formula. Next, we practiced finding the slope from a graph.
Assignment: For homework complete Finding Slope from a Graph.
Describe an inequality using the rule of four; verbally, numerically, graphically, and symbolically. This is a new topic so we will look at examples using the number line. Identify the properties used to solve an inequality, which are the same as solving an equation except for one important change. If an inequality is multiplied or divided by a negative quantity, the sense of the inequality must be reversed. Examples will be done as time allows.
Assignment
none
Session Minutes
45
Minutes Student Attended
30
Lesson Comments
David had connection issues, but we did have time to go through everything in the lesson outline. We did not have time to do examples, so we will start with examples tomorrow.
The class will begin with a review of the number line and sets of number types. We will look at distance between points on the number line and using absolute value to find the distance. Inequalities using the number line will be disused and we will write inequalities symbolically.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did everything in the plan as written. We also had time to do a short discussion of vectors because David asked a great question about direction on a number line. It is good to be able to take time to pursue a topic that wasn't in the original lesson plan, but takes us a bit deeper into the learning of algebra.
